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Finding the Fourth Proportional to 321,893.82, 482,841.33 and 111,531.96

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Solution

The fourth proportional to 321,893.82, 482,841.33 and 111,531.96 is: 167,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,893.82 : 482,841.33 = 111,531.96 : x
  2. Step 2: Convert to fraction form
    321,893.82/482,841.33 = 111,531.96/x
  3. Step 3: Cross multiply
    321,893.82x = 482,841.33 × 111,531.96
  4. Step 4: Simplify right side
    321,893.82x = 53,852,239,903.91
  5. Step 5: Solve for x
    x = 53,852,239,903.91/321,893.82
  6. Step 6: Final answer
    x = 167,298.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.